GCD of 981, 343, 705, 165 Calculator

Given Input numbers are 981, 343, 705, 165

In the factoring method, we have to find the divisors of all numbers

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (981, 343, 705, 165) = 1.

Given numbers are 981, 343, 705, 165

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 343 are 7 x 7 x 7

Prime factors of 705 are 3 x 5 x 47

Prime factors of 165 are 3 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 981, 343, 705, 165

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(981, 343) = 336483

GCD(981, 343) = ( 981 x 343 ) / 336483

= 981 / 343

= 981

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

Step3:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1

So, Greatest Common Divisor of 981, 343, 705, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 608, 409, 157
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Given numbers are 981, 343, 705, 165
The greatest common divisor of numbers 981, 343, 705, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 343, 705, 165 is 1.

1. What is the GCD of 981, 343, 705, 165?

GCD of given numbers 981, 343, 705, 165 is 1

2. How to calculate the greatest common divisor of 981, 343, 705, 165?

We can find the highest common divisor of 981, 343, 705, 165 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 981, 343, 705, 165 i.e 1.

3. How can I use the GCD of 981, 343, 705, 165Calculator?

Out the numbers 981, 343, 705, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.